9 citations · 15 across the 7 of their papers we have counts for
5 papers · 1 filter
On some structural properties of evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
We consider the intersection of all maximal ideals of an evolution algebra and study the structure of the quotient $A/\M(A)$. In a previous work, maximal idea…
Automorphism groups of Cayley evolution algebras
Cristina Costoya, Vicente Muñoz, Alicia Tocino +1
In this paper we introduce a new species of evolution algebras that we call Cayley evolution algebras. We show that if a field contains sufficiently many elements (for example…
On simple evolution algebras of dimension two and three. Constructing simple and semisimple evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
This work classifies three-dimensional simple evolution algebras over arbitrary fields. For this purpose, we use tools such as the associated directed graph, the moduli set, induct…
Tensor product of evolution algebras
Yolanda Cabrera Casado, Dolores Martín Barquero, Cándido Martín González +1
The starting point of this work is that the class of evolution algebras over a fixed field is closed under tensor product. This arises questions about the inheritance of properties…
Regular evolution algebras are universally finite
Cristina Costoya, Panagiote Ligouras, Alicia Tocino +1
In this paper we show that evolution algebras over any given field are universally finite. In other words, given any finite group , there exist infinitely many regular e…